Optimization of a sheet metal forming process using successive multipoint approximations
Abstract An automated optimization method based on multipoint approximations and applied to the design of a sheet metal forming process is presented. Due to the highly complex nature of the design functions, it was decided to focus on the characterization of the final product thickness distribution...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kok, S. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1999 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag 1999 |
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| Übergeordnetes Werk: |
Enthalten in: Structural optimization - Springer-Verlag, 1989, 18(1999), 4 vom: Dez., Seite 277-295 |
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| Übergeordnetes Werk: |
volume:18 ; year:1999 ; number:4 ; month:12 ; pages:277-295 |
| Links: |
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| DOI / URN: |
10.1007/BF01223312 |
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OLC2051762678 |
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| 520 | |a Abstract An automated optimization method based on multipoint approximations and applied to the design of a sheet metal forming process is presented. Due to the highly complex nature of the design functions, it was decided to focus on the characterization of the final product thickness distribution as a function of the preforming die shape variables. This was achieved by constructing linear approximations to the noisy responses usingresponse surface methodology (RSM). These approximations are used to obtain an approximate solution to an optimization problem. Successive approximations are constructed, which improve the solution. An automated panning-zooming scheme is used to resize and position the successive regions of approximation. The methodology is applied to optimally design the preforming die shape used in the manufacture of an automotive wheel centre pressing from a sheet metal blank. The die shape is based on a cubic spline interpolation and the objective is to minimize the blank weight, subject to minimum thickness constraints. A weight saving of up to 9.4% could be realized for four shape variables. Restart is introduced to escape local minima due to the presence of noise and to accelerate the progress of the optimization process. | ||
| 650 | 4 | |a Sheet Metal | |
| 650 | 4 | |a Shape Variable | |
| 650 | 4 | |a Thickness Distribution | |
| 650 | 4 | |a Spline Interpolation | |
| 650 | 4 | |a Minimum Thickness | |
| 700 | 1 | |a Stander, N. |4 aut | |
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10.1007/BF01223312 doi (DE-627)OLC2051762678 (DE-He213)BF01223312-p DE-627 ger DE-627 rakwb eng 510 VZ Kok, S. verfasserin aut Optimization of a sheet metal forming process using successive multipoint approximations 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1999 Abstract An automated optimization method based on multipoint approximations and applied to the design of a sheet metal forming process is presented. Due to the highly complex nature of the design functions, it was decided to focus on the characterization of the final product thickness distribution as a function of the preforming die shape variables. This was achieved by constructing linear approximations to the noisy responses usingresponse surface methodology (RSM). These approximations are used to obtain an approximate solution to an optimization problem. Successive approximations are constructed, which improve the solution. An automated panning-zooming scheme is used to resize and position the successive regions of approximation. The methodology is applied to optimally design the preforming die shape used in the manufacture of an automotive wheel centre pressing from a sheet metal blank. The die shape is based on a cubic spline interpolation and the objective is to minimize the blank weight, subject to minimum thickness constraints. A weight saving of up to 9.4% could be realized for four shape variables. Restart is introduced to escape local minima due to the presence of noise and to accelerate the progress of the optimization process. Sheet Metal Shape Variable Thickness Distribution Spline Interpolation Minimum Thickness Stander, N. aut Enthalten in Structural optimization Springer-Verlag, 1989 18(1999), 4 vom: Dez., Seite 277-295 (DE-627)130805831 (DE-600)1009587-1 (DE-576)023046716 0934-4373 nnns volume:18 year:1999 number:4 month:12 pages:277-295 https://doi.org/10.1007/BF01223312 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_32 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4316 GBV_ILN_4319 AR 18 1999 4 12 277-295 |
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10.1007/BF01223312 doi (DE-627)OLC2051762678 (DE-He213)BF01223312-p DE-627 ger DE-627 rakwb eng 510 VZ Kok, S. verfasserin aut Optimization of a sheet metal forming process using successive multipoint approximations 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1999 Abstract An automated optimization method based on multipoint approximations and applied to the design of a sheet metal forming process is presented. Due to the highly complex nature of the design functions, it was decided to focus on the characterization of the final product thickness distribution as a function of the preforming die shape variables. This was achieved by constructing linear approximations to the noisy responses usingresponse surface methodology (RSM). These approximations are used to obtain an approximate solution to an optimization problem. Successive approximations are constructed, which improve the solution. An automated panning-zooming scheme is used to resize and position the successive regions of approximation. The methodology is applied to optimally design the preforming die shape used in the manufacture of an automotive wheel centre pressing from a sheet metal blank. The die shape is based on a cubic spline interpolation and the objective is to minimize the blank weight, subject to minimum thickness constraints. A weight saving of up to 9.4% could be realized for four shape variables. Restart is introduced to escape local minima due to the presence of noise and to accelerate the progress of the optimization process. Sheet Metal Shape Variable Thickness Distribution Spline Interpolation Minimum Thickness Stander, N. aut Enthalten in Structural optimization Springer-Verlag, 1989 18(1999), 4 vom: Dez., Seite 277-295 (DE-627)130805831 (DE-600)1009587-1 (DE-576)023046716 0934-4373 nnns volume:18 year:1999 number:4 month:12 pages:277-295 https://doi.org/10.1007/BF01223312 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_32 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4316 GBV_ILN_4319 AR 18 1999 4 12 277-295 |
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10.1007/BF01223312 doi (DE-627)OLC2051762678 (DE-He213)BF01223312-p DE-627 ger DE-627 rakwb eng 510 VZ Kok, S. verfasserin aut Optimization of a sheet metal forming process using successive multipoint approximations 1999 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 1999 Abstract An automated optimization method based on multipoint approximations and applied to the design of a sheet metal forming process is presented. Due to the highly complex nature of the design functions, it was decided to focus on the characterization of the final product thickness distribution as a function of the preforming die shape variables. This was achieved by constructing linear approximations to the noisy responses usingresponse surface methodology (RSM). These approximations are used to obtain an approximate solution to an optimization problem. Successive approximations are constructed, which improve the solution. An automated panning-zooming scheme is used to resize and position the successive regions of approximation. The methodology is applied to optimally design the preforming die shape used in the manufacture of an automotive wheel centre pressing from a sheet metal blank. The die shape is based on a cubic spline interpolation and the objective is to minimize the blank weight, subject to minimum thickness constraints. A weight saving of up to 9.4% could be realized for four shape variables. Restart is introduced to escape local minima due to the presence of noise and to accelerate the progress of the optimization process. Sheet Metal Shape Variable Thickness Distribution Spline Interpolation Minimum Thickness Stander, N. aut Enthalten in Structural optimization Springer-Verlag, 1989 18(1999), 4 vom: Dez., Seite 277-295 (DE-627)130805831 (DE-600)1009587-1 (DE-576)023046716 0934-4373 nnns volume:18 year:1999 number:4 month:12 pages:277-295 https://doi.org/10.1007/BF01223312 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_32 GBV_ILN_40 GBV_ILN_63 GBV_ILN_70 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4307 GBV_ILN_4316 GBV_ILN_4319 AR 18 1999 4 12 277-295 |
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Optimization of a sheet metal forming process using successive multipoint approximations |
| abstract |
Abstract An automated optimization method based on multipoint approximations and applied to the design of a sheet metal forming process is presented. Due to the highly complex nature of the design functions, it was decided to focus on the characterization of the final product thickness distribution as a function of the preforming die shape variables. This was achieved by constructing linear approximations to the noisy responses usingresponse surface methodology (RSM). These approximations are used to obtain an approximate solution to an optimization problem. Successive approximations are constructed, which improve the solution. An automated panning-zooming scheme is used to resize and position the successive regions of approximation. The methodology is applied to optimally design the preforming die shape used in the manufacture of an automotive wheel centre pressing from a sheet metal blank. The die shape is based on a cubic spline interpolation and the objective is to minimize the blank weight, subject to minimum thickness constraints. A weight saving of up to 9.4% could be realized for four shape variables. Restart is introduced to escape local minima due to the presence of noise and to accelerate the progress of the optimization process. © Springer-Verlag 1999 |
| abstractGer |
Abstract An automated optimization method based on multipoint approximations and applied to the design of a sheet metal forming process is presented. Due to the highly complex nature of the design functions, it was decided to focus on the characterization of the final product thickness distribution as a function of the preforming die shape variables. This was achieved by constructing linear approximations to the noisy responses usingresponse surface methodology (RSM). These approximations are used to obtain an approximate solution to an optimization problem. Successive approximations are constructed, which improve the solution. An automated panning-zooming scheme is used to resize and position the successive regions of approximation. The methodology is applied to optimally design the preforming die shape used in the manufacture of an automotive wheel centre pressing from a sheet metal blank. The die shape is based on a cubic spline interpolation and the objective is to minimize the blank weight, subject to minimum thickness constraints. A weight saving of up to 9.4% could be realized for four shape variables. Restart is introduced to escape local minima due to the presence of noise and to accelerate the progress of the optimization process. © Springer-Verlag 1999 |
| abstract_unstemmed |
Abstract An automated optimization method based on multipoint approximations and applied to the design of a sheet metal forming process is presented. Due to the highly complex nature of the design functions, it was decided to focus on the characterization of the final product thickness distribution as a function of the preforming die shape variables. This was achieved by constructing linear approximations to the noisy responses usingresponse surface methodology (RSM). These approximations are used to obtain an approximate solution to an optimization problem. Successive approximations are constructed, which improve the solution. An automated panning-zooming scheme is used to resize and position the successive regions of approximation. The methodology is applied to optimally design the preforming die shape used in the manufacture of an automotive wheel centre pressing from a sheet metal blank. The die shape is based on a cubic spline interpolation and the objective is to minimize the blank weight, subject to minimum thickness constraints. A weight saving of up to 9.4% could be realized for four shape variables. Restart is introduced to escape local minima due to the presence of noise and to accelerate the progress of the optimization process. © Springer-Verlag 1999 |
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| title_short |
Optimization of a sheet metal forming process using successive multipoint approximations |
| url |
https://doi.org/10.1007/BF01223312 |
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| author2 |
Stander, N. |
| author2Str |
Stander, N. |
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| up_date |
2024-07-04T05:14:17.926Z |
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